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General 1-D motion Average velocity: 21 ave x x x ttt υ Δ == Δ− Average acceleration: ave a tt t Δ Instantaneous velocity: dx dt = Instantaneous acceleration: 2 2 dd a dt dt x 0 Example 1. Particles A and B are moving along a straight line. Their positions are defined as m and m for s. 32 1.5 10 20 40 A xt t t =− + + 43 2 (1/ 6) (8 / 3) 5 15 10 B xtt t t =−− + + 01 t ≤≤ (a) At what time instant do these two particles have the same acceleration? Ans : t = 6 s (b) Calculate the average acceleration of A during the interval between t = 2 s and t = 6 s. Ans : 16 m/s 2 2. The position of a particle moving along a straight line is given by m for the duration of s. () 6 40 t t t =− − + 08 t (a) Draw the , , and x tta t −− graphs. x–t
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This note was uploaded on 04/06/2008 for the course PHYS 2305 taught by Professor Tschang during the Fall '08 term at Virginia Tech.

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